For open continuous maps of closed balls, are points of interior of the image covered by images of small perturbations of the map?

Let F be a continuous map of a closed ball in ${\mathbb R}^m$ to ${\mathbb R}^n$ where $m\ge n$. Suppose that F is open i.e. images of all open sets are open. Is it true that for any point of the...

11 February 2017 9,801 4 View